# Problem Solving With Venn Diagrams

In a group of students, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three games.

Find the total number of students in the group In a college, 60 students enrolled in chemistry,40 in physics, 30 in biology, 15 in chemistry and physics,10 in physics and biology, 5 in biology and chemistry. Find how many are enrolled in at least one of the subjects.

When he asked how many had been to Punta de las Cuevas, four children raised their hands.

When he asked how many had been to Salt Bay, three raised their hands.

Sometimes when I know the correct answer I can work backwards to solve it, but I can't do that with this problem. This sort of problem is often solved using a Venn diagram.

## Comments Problem Solving With Venn Diagrams

• ###### Examples on Venn Diagram - math-only-

Relationship in Sets using Venn Diagram Union of Sets using Venn Diagram Intersection of Sets using Venn Diagram Disjoint of Sets using Venn Diagram Difference of Sets using Venn Diagram Examples on Venn Diagram. 8th Grade Math Practice From Examples on Venn Diagram to HOME PAGE…

• ###### Venn Diagram Examples, Problems and Solutions

The best way to explain how the Venn diagram works and what its formulas show is to give 2 or 3 circles Venn diagram examples and problems with solutions. Problem-solving using Venn diagram is a widely used approach in many areas such as statistics, data science, business, set theory, math, logic and etc.…

• ###### Solving Problems with Venn Diagrams - YouTube

This video solves two problems using Venn Diagrams. One with two sets and one with three sets. Complete Video List at…

• ###### VENN DIAGRAM PROBLEMS AND SOLUTIONS

About the topic "Venn diagram problems and solutions" Venn diagram problems and solutions Here, we are going to see, how to solve word problems using Venn diagram. In set language, we can solve many word problems using Venn diagrams and the two formulas given below. Formula 1 nA u B = nA + nB - nA n B…

• ###### Venn Diagrams Exercises Purplemath

Venn diagram word problems generally give you two or three classifications and a bunch of numbers. You then have to use the given information to populate the diagram and figure out the remaining information. For instance Out of forty students, 14 are taking English Composition and 29 are taking Chemistry.…

• ###### Solving Problems with Venn Diagrams - Creately Blog

Though the above diagram may look complicated, it is actually very easy to understand. Although Venn diagrams can look complex when solving business processes understanding of the meaning of the boundaries and what they stand for can simplify the process to a great extent.…